On the existence of doubling measures with certain regularity properties

Bylund, Per; Gudayol, Jaume

doi:10.1090/S0002-9939-00-05405-8

On the existence of doubling measures with certain regularity properties
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by Per Bylund and Jaume Gudayol PDF

Proc. Amer. Math. Soc. 128 (2000), 3317-3327 Request permission

Abstract:

Given a compact pseudo-metric space, we associate to it upper and lower dimensions, depending only on the pseudo-metric. Then we construct a doubling measure for which the measure of a dilated ball is closely related to these dimensions.

References

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